Basic Math Examples

$\frac{m^{2} - 7 m}{m - 2} + \frac{10}{m - 2}$

Step 1

Combine the numerators over the common denominator.

$\frac{m^{2} - 7 m + 10}{m - 2}$

Step 2

Factor $m^{2} - 7 m + 10$ using the AC method.

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Step 2.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $10$ and whose sum is $- 7$ .

$- 5, - 2$

Step 2.2

Write the factored form using these integers.

$\frac{(m - 5) (m - 2)}{m - 2}$

Step 3

Cancel the common factor of $m - 2$ .

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Step 3.1

Cancel the common factor.

$\frac{(m - 5) (m - 2)}{m - 2}$

Step 3.2

Divide $m - 5$ by $1$ .

$m - 5$